TL;DR
This paper introduces a novel form of deterministic chaos in two-dimensional iterative maps, characterized by an upward trend and chaotic differences, including period doubling and intermittent chaos as parameters vary.
Contribution
It presents a new type of non-stationary chaos with unique bifurcation and intermittent behaviors in two-dimensional systems.
Findings
First difference series shows chaotic behavior through period doubling bifurcation.
Time series exhibits step-wise patterns at large bifurcation parameters.
First difference displays intermittent chaos under certain conditions.
Abstract
A new type of deterministic chaos for a system described by iterative two-dimensional maps is reported. The series being generated by the original map has an average upward trend while the first difference, which is the series of changes from one period to the next, exhibits chaotic behavior through period doubling bifurcation. Furthermore, step-wise time series appears as the values of the bifurcation parameter are large, and the first difference of the time series exhibits intermittent chaos.
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Taxonomy
TopicsChaos control and synchronization · Nonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation